Several complex variables | Complex manifolds
In mathematics, more particularly in complex geometry,algebraic geometry and complex analysis, a positive currentis a positive (n-p,n-p)-form over an n-dimensional complex manifold,taking values in distributions. For a formal definition, consider a manifold M.Currents on M are (by definition)differential forms with coefficients in distributions. ; integratingover M, we may consider currents as "currents of integration",that is, functionals on smooth forms with compact support. This way, currentsare considered as elements in the dual space to the space of forms with compact support. Now, let M be a complex manifold.The Hodge decomposition is defined on currents, in a natural way, the (p,q)-currents beingfunctionals on . A positive current is defined as a real currentof Hodge type (p,p), taking non-negative values on all positive(p,p)-forms. (Wikipedia).
By convention, we define positive current to flow in the direction a positive charge would move. Electrons (with their negative charge) move in the opposite direction of the positive current arrow.
From playlist Electrical engineering
Electric Current, Example Problems
How to calculate electric current, example problems. Electric current is the rate of flow of charge past a point in a closed circuit. In an electric circuit this charge is carried by electrons moving through a wire but it can also be carried by ions in an electrolyte. The symbol for curr
From playlist DC Circuits; Resistors in Series and Parallel
Electric Potential: Visualizing Voltage with 3D animations
Shows how voltage can be visualized as electric potential energy. Includes topics such as why the voltage is the same everywhere inside a metal conductor.
From playlist Physics
Electric Current, An Explanation
Electric current is the rate of flow of charge past a point in a closed circuit. In an electric circuit this charge is carried by electrons moving through a wire but it can also be carried by ions in an electrolyte. The symbol for current is I, which originates from the French phrase inte
From playlist DC Circuits; Resistors in Series and Parallel
Electromotive Force of a Battery, Internal Resistance and Terminal Voltage
This physics video tutorial provides a basic introduction into the electromotive force generated by a battery. The electromotive force is a voltage source that increases the electric potential energy of the charges in the circuit that allows it to do useful work. Resistors, on the other
From playlist New Physics Video Playlist
Electrical Engineering: Basic Concepts (4 of 7) Electric Current: DC vs AC
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the difference of the electric current of DC (direct current) and AC (alternating current). Next video in this series can be seen at: https://youtu.be/84SxC7Aeco4
From playlist ELECTRICAL ENGINEERING 1 BASIC CONCEPTS
Physics 12.4.1a - Electric Potential and Potential Difference
A discussion of electric potential and potential difference. High school difficulty level. From the physics course by Derek Owens. The distance learning course is available at http://www.derekowens.com
From playlist Physics - What is Voltage
Physics 12.1.4a - Positive and Negative Objects
Positively and negatively charged objects. The movement of electrons, not protons, causes objects to be negatively or positively charged. From the Physics course by Derek Owens. The distance learning course is available at http://www.derekowens.com
From playlist Physics - Electric Charge
The Basics: Voltage, Current and Resistance
Gives the definition, units and abbreviations for voltage, current and resistance. You can see a listing of all my videos at my website, http://www.stepbystepscience.com
From playlist Electricity and Magnetism
Kirchhoff's Law, Junction & Loop Rule, Ohm's Law - KCl & KVl Circuit Analysis - Physics
This physics video tutorial explains how to solve complex DC circuits using kirchoff's law. Kirchoff's current law or junction rule states that the total current entering a junction is equal to the total current leaving the junction. Kirchoff's voltage law or loop rule states that the su
From playlist New Physics Video Playlist
LC Circuits - Review for AP Physics C: Electricity and Magnetism
AP Physics C: Electricity and Magnetism review LC circuits including the basics of how an LC circuit works, the limits, derivations of charge, current, and energy as a functions of time, and an animation of all of that. Also a discussion of the animation because there is a lot going on in
From playlist AP Physics C: Electricity & Magnetism Review
GCSE level covering: logic gates, silicon, doped, NPN, diode, transistor, switch, thermistor, And Gate, not gate, or Gate, nand gate, nor gate, warning system, relay
From playlist GCSE Physics Revision
The Electric Battery and Conventional Current - Introduction to Basic Electricity
This physics video tutorial provides a basic introduction into the electric battery and conventional current. The electric battery converts chemical energy into electrical energy. The battery increases the electric potential energy of the circuit causing electrons to flow from the negati
From playlist New Physics Video Playlist
Kirchhoff's Current Law, Junction Rule, KCl Circuits - Physics Problems
This physics video tutorial provides a basic introduction into kirchoff's current law or junction rule. It explains how to calculate the missing current flowing into or out of a junction. A current flowing into the junction is given a positive sign and a current flowing out of a junction
From playlist New Physics Video Playlist
Magnetic Force on a Current Carrying Wire
This physics video tutorial explains how to calculate the magnetic force on a current carrying wire in a magnetic field. The magnetic force depends on the current flowing through the conductor, the length of the wire, and the strength of the magnetic field as well as the orientiation of t
From playlist New Physics Video Playlist
An Introduction to Logic Gates
A simple introduction to logic gates, covering transistors, Boolean Algebra, AND OR NOT NOR NAND XOR and XNOR gates and how to build a very basic computer.
From playlist A Level Physics Revision
This video covers Section 22.5 of Cutnell & Johnson Physics 10e, by David Young and Shane Stadler, published by John Wiley and Sons. The lecture is part of the course General Physics - Life Sciences I and II, taught by Dr. Boyd F. Edwards at Utah State University. This video was produced
From playlist Lecture 22A. Electromagnetic Induction
June Huh Princeton University; Veblen Fellow, School of Mathematics September 30, 2014 I will outline a construction of "tropical current", a positive closed current associated to a tropical variety. I will state basic properties of tropical currents, and discuss how tropical currents are
From playlist Mathematics
Force on moving charge in magnetic field
Demonstrated is the force on a moving charge in a magnetic field, F = QvxB
From playlist Electric Motors